A firm with a 14% WACC is evaluating two projects for this year's capital budget. After-tax cash flows, including depreciation, are as follows:
Calculate NPV for each project. Round your answers to the
nearest cent. Do not round your intermediate calculations. Calculate IRR for each project. Round your answers to two
decimal places. Do not round your intermediate calculations. Calculate MIRR for each project. Round your answers to two
decimal places. Do not round your intermediate calculations. Calculate payback for each project. Round your answers to two
decimal places. Do not round your intermediate calculations. Calculate discounted payback for each project. Round your
answers to two decimal places. Do not round your intermediate
calculations. Assuming the projects are independent, which one(s) would you
recommend? If the projects are mutually exclusive, which would you
recommend? Notice that the projects have the same cash flow timing pattern.
Why is there a conflict between NPV and IRR? |
Year | Project A | PV | cumulative cash flow | cumulative PV cash flow | ||
0 | -24000 | -24000 | ||||
1 | 8000 | 7017.54386 | -16000 | -16982.45614 | ||
2 | 8000 | 6155.740228 | -8000 | -10826.71591 | ||
3 | 8000 | 5399.77213 | 0 | -5426.943783 | ||
4 | 8000 | 4736.642219 | 8000 | -690.301564 | ||
5 | 8000 | 4154.949315 | 16000 | 3464.647751 | NPV | |
19.86% | IRR | |||||
payback period | 3.00 | discounted payabck period | 4.15 | |||
PI | 1.144360323 | |||||
Year | project B | |||||
0 | -72000 | -72000 | -72000 | -72000 | ||
1 | 22,400 | 19649.12281 | -49,600 | -52350.87719 | ||
2 | 22,400 | 17236.07264 | -27,200 | -35114.80456 | ||
3 | 22,400 | 15119.36196 | -4,800 | -19995.44259 | ||
4 | 22,400 | 13262.59821 | 17,600 | -6732.844379 | ||
5 | 22,400 | 11633.85808 | 40,000 | 4901.013702 | NPV | |
16.80% | IRR | |||||
payback period | 3.21 | discounted payabck period | 4.32 | |||
PI | 1.068069635 | |||||
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